Classification of orbits in three-dimensional exoplanetary systems

被引:2
|
作者
Zotos, Euaggelos E. [1 ]
Erdi, Balint [2 ]
Saeed, Tareq [3 ]
机构
[1] Aristotle Univ Thessaloniki, Sch Sci, Dept Phys, Thessaloniki 54124, Greece
[2] Eotvos Lorand Univ, Dept Astron, Pazmany Peter Setany 1-A, H-1117 Budapest, Hungary
[3] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
关键词
methods: numerical; celestial mechanics; planets and satellites: general; RESONANT PERIODIC-ORBITS; HABITABLE ZONES; STABILITY;
D O I
10.1051/0004-6361/202039690
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The three-dimensional version of the circular restricted problem of three bodies is utilized to describe a system comprising a host star and an exoplanet. The third body, playing the role of a test particle, can be a comet or an asteroid, or even a small exomoon. Combining the grid classification method with two-dimensional color-coded basin maps, we determine the nature of the motion of the test particle by distinguishing between collision, escaping, and bounded motion. In the case of ordered bounded motion, we also obtain the orientation (retrograde or prograde) as well as the geometry (circulating around one or both of the two main bodies) of the trajectories of the third body, which starts from either the pericenter or apocenter. Following this approach, we are able to systematically explore the dependence of the motion type of the test particle on the initial values of the semimajor axis, eccentricity, and inclination of its orbit.
引用
收藏
页数:15
相关论文
共 50 条
  • [1] On the classification of orbits in the three-dimensional Copenhagen problem with oblate primaries
    Zotos, Euaggelos E.
    Nagler, Jan
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2019, 108 : 55 - 71
  • [2] Periodic Orbits for a Three-Dimensional Biological Differential Systems
    Colucci, Renato
    Nunez, Daniel
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [3] Resonant periodic orbits in the exoplanetary systems
    Antoniadou, K. I.
    Voyatzis, G.
    [J]. ASTROPHYSICS AND SPACE SCIENCE, 2014, 349 (02) : 657 - 676
  • [4] Resonant periodic orbits in the exoplanetary systems
    K. I. Antoniadou
    G. Voyatzis
    [J]. Astrophysics and Space Science, 2014, 349 : 657 - 676
  • [5] Three-dimensional competitive Lotka-Volterra systems with no periodic orbits
    Van den Driessche, P
    Zeeman, ML
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1998, 58 (01) : 227 - 234
  • [6] Sliding homoclinic orbits and bifurcations of three-dimensional piecewise affine systems
    Tiantian Wu
    Songmei Huan
    Xiaojuan Liu
    [J]. Nonlinear Dynamics, 2023, 111 : 9011 - 9024
  • [7] Asymptotic stabilization with phase of periodic orbits of three-dimensional Hamiltonian systems
    Tudoran, Razvan M.
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2017, 121 : 33 - 41
  • [8] NONEXISTENCE OF PLANAR CLOSED ORBITS IN QUADRATIC THREE-DIMENSIONAL AUTONOMOUS SYSTEMS
    Yang, Qian
    Wu, Bowei
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (02):
  • [9] Sliding homoclinic orbits and bifurcations of three-dimensional piecewise affine systems
    Wu, Tiantian
    Huan, Songmei
    Liu, Xiaojuan
    [J]. NONLINEAR DYNAMICS, 2023, 111 (10) : 9011 - 9024
  • [10] Invariant manifolds of periodic orbits for piecewise linear three-dimensional systems
    Carmona, V
    Freire, E
    Ponce, E
    Torres, F
    [J]. IMA JOURNAL OF APPLIED MATHEMATICS, 2004, 69 (01) : 71 - 91